Find roots of polynomial $$ p(x) = x^5+x^4-7x^3+12x+12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -3.0242\\[1 em]x_2 &= -0.8022+0.6039i\\[1 em]x_3 &= -0.8022-0.6039i\\[1 em]x_4 &= 1.8143+0.8023i\\[1 em]x_5 &= 1.8143-0.8023i \end{aligned} $$Explanation
Polynomial $ x^5+x^4-7x^3+12x+12 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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